CN111490542A - Site selection and volume fixing method of multi-end flexible multi-state switch - Google Patents

Site selection and volume fixing method of multi-end flexible multi-state switch Download PDF

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CN111490542A
CN111490542A CN202010601157.5A CN202010601157A CN111490542A CN 111490542 A CN111490542 A CN 111490542A CN 202010601157 A CN202010601157 A CN 202010601157A CN 111490542 A CN111490542 A CN 111490542A
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state switch
flexible multi
cost
nodes
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CN111490542B (en
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范心明
彭元泉
李新
潘志图
赵云云
谭振鹏
宋安琪
董镝
王俊波
李国伟
李峰
欧阳卫年
邓智广
李高明
黎小龙
李恒真
李明琪
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Foshan Power Supply Bureau of Guangdong Power Grid Corp
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Foshan Power Supply Bureau of Guangdong Power Grid Corp
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    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00—Circuit arrangements for ac mains or ac distribution networks
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00—Circuit arrangements for ac mains or ac distribution networks
    • H02J3/04—Circuit arrangements for ac mains or ac distribution networks for connecting networks of the same frequency but supplied from different sources
    • H02J3/06—Controlling transfer of power between connected networks; Controlling sharing of load between connected networks
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00—Circuit arrangements for ac mains or ac distribution networks
    • H02J3/12—Circuit arrangements for ac mains or ac distribution networks for adjusting voltage in ac networks by changing a characteristic of the network load
    • H02J3/14—Circuit arrangements for ac mains or ac distribution networks for adjusting voltage in ac networks by changing a characteristic of the network load by switching loads on to, or off from, network, e.g. progressively balanced loading
    • H02J3/144—Demand-response operation of the power transmission or distribution network
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J2203/00—Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
    • H02J2203/20—Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02B—CLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO BUILDINGS, e.g. HOUSING, HOUSE APPLIANCES OR RELATED END-USER APPLICATIONS
    • Y02B70/00—Technologies for an efficient end-user side electric power management and consumption
    • Y02B70/30—Systems integrating technologies related to power network operation and communication or information technologies for improving the carbon footprint of the management of residential or tertiary loads, i.e. smart grids as climate change mitigation technology in the buildings sector, including also the last stages of power distribution and the control, monitoring or operating management systems at local level
    • Y02B70/3225—Demand response systems, e.g. load shedding, peak shaving
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y04—INFORMATION OR COMMUNICATION TECHNOLOGIES HAVING AN IMPACT ON OTHER TECHNOLOGY AREAS
    • Y04S—SYSTEMS INTEGRATING TECHNOLOGIES RELATED TO POWER NETWORK OPERATION, COMMUNICATION OR INFORMATION TECHNOLOGIES FOR IMPROVING THE ELECTRICAL POWER GENERATION, TRANSMISSION, DISTRIBUTION, MANAGEMENT OR USAGE, i.e. SMART GRIDS
    • Y04S20/00—Management or operation of end-user stationary applications or the last stages of power distribution; Controlling, monitoring or operating thereof
    • Y04S20/20—End-user application control systems
    • Y04S20/222—Demand response systems, e.g. load shedding, peak shaving

Abstract

The invention provides a site selection and volume fixing method of a multi-end flexible multi-state switch, which solves the problem that the solving time is lengthened due to the fact that the multi-port factor and the connection position of the flexible multi-state switch expand the site selection and volume fixing solving dimension of the flexible multi-state switch, and comprises the following steps: determining basic operation parameters; decimal coding is carried out on the ports of the flexible multi-state switch, the feeder lines connected with the ports and position vectors of three layers of factors of allowed access nodes on the feeder lines; the method comprises the steps that the minimum of equipment operation cost, connection loss cost, inter-network interaction cost and capacity configuration cost is taken as an objective function, load flow calculation and safe operation boundary conditions are considered, and a multi-terminal flexible multi-state switch location and volume optimization model is established according to constraint conditions of flexible multi-state switch operation, distributed power supply operation, grouping switching capacitor operation, energy storage system operation and static reactive power compensation device operation; combining an improved genetic algorithm with second-order cone planning to solve an optimization model; and outputting the result.

Description

Site selection and volume fixing method of multi-end flexible multi-state switch
Technical Field
The invention relates to the technical field of site selection and volume fixing planning of a flexible multi-state switch, in particular to a site selection and volume fixing method of a multi-terminal flexible multi-state switch.
Background
The high-proportion flexible multi-state switch and the intermittent load are connected into the active power distribution network, so that abundant distribution forms and operation characteristics are brought to the power flow of the distribution network, and problems and challenges such as power quality are brought. In order to ensure the safety, stability, economy and efficiency of the system, the active power distribution network adjusts the grid structure and the operation mode, integrates communication electronics, intelligent control and other technologies, realizes load transfer and flexible regulation, is limited by the operation strategy of the traditional interconnection switch, cannot fully convert the passive controllability of the adjusting equipment in the active power distribution network into the active flexibility, and needs to improve the controllability and the operation potential of the active power distribution network by means of the flexible power distribution technology.
The flexible multi-state switch is a fully-controlled power electronic device with flexible power flow regulation, and through variable coordination control of a multi-port converter, part of key nodes or branches have the advantages of open-loop operation and closed-loop operation at the same time, system parameters can be controlled and adjusted, power flow distribution is changed, and the operation state is optimized.
The Chinese patent with the publication number of CN110148936A and the publication date of 2019, 8, 20 provides a coordinated planning method for a flexible multi-state switch and a flexible multi-state switch in an active power distribution network, starting from the overall layout of the active power distribution network, and according to the actual running condition of the power distribution network, the positions and the capacities of the flexible multi-state switch and the flexible multi-state switch which are connected to the active power distribution network are coordinated and planned and designed, so that the planning and design level of the power distribution network is improved; according to the technical scheme, an improved genetic particle swarm hybrid optimization algorithm is adopted to solve a flexible multi-state switch and flexible multi-state switch coordination planning model, the optimal scheme that the flexible multi-state switch and the flexible multi-state switch are connected to an active power distribution network is rapidly and accurately solved, but the scheme that the multi-end flexible multi-state switch is connected to the active power distribution network is mainly influenced by three layers of factors: the first layer is the selection of the flexible multi-state switch port; the second layer is the selection of the feeder line or branch circuit connected with the port; the third layer is the selection of the accessible nodes on the connected feeder lines or branch lines, the three-layer factors are traversed in a crossing manner, and for a power distribution network with a certain scale, the scheme judgment and selection with a large number and a complex form are faced. Meanwhile, the flexible multi-state switch is limited by the port capacity of the self equipment, so that the transmission capacity of the load transfer channel is influenced. Too low capacity configuration restricts strategy selection and optimization degree of tidal current mutual aid among feeders, otherwise, economic cost of equipment is increased sharply, and capacity redundancy causes too low equipment utilization rate and does not conform to efficient and economic planning principles.
Disclosure of Invention
The invention provides a multi-end flexible multi-state switch location and volume fixing method, which aims to overcome the defect that the conventional flexible multi-state switch location and volume fixing method does not consider the multi-port factor of a flexible multi-state switch, and solve the problem that the solution time is increased rapidly because the multi-port factor of the flexible multi-state switch and the connection position expand the location and volume fixing solution dimension of the flexible multi-state switch.
In order to achieve the technical effects, the technical scheme of the invention is as follows:
a site selection and volume fixing method of a multi-end flexible multi-state switch at least comprises the following steps:
s1, determining basic operation parameters of a power distribution network, a regulating device, a distributed power supply and a multi-end flexible multi-state switch;
s2, performing decimal coding on the ports of the flexible multi-state switch, the feeder lines connected with the ports and position vectors of three layers of factors allowed to be accessed to the nodes on the feeder lines;
s3, establishing a multi-terminal flexible multi-state switch location and volume optimization model by taking the minimum equipment operation cost, the minimum connection loss cost, the minimum inter-network interaction cost and the minimum capacity configuration cost as objective functions, considering load flow calculation and safe operation boundary conditions and taking flexible multi-state switch operation constraint, distributed power supply operation constraint, grouping switching capacitor operation constraint, energy storage system operation constraint and static reactive power compensation device operation constraint as constraint conditions;
s4, combining an improved genetic algorithm with second-order cone planning, and solving a location and volume fixing optimization model of the multi-end flexible multi-state switch;
and S5, outputting the optimal access position and capacity configuration result of the multi-end flexible multi-state switch in the power distribution network.
Preferably, the basic operation parameters of step S1 include:
number of feeder branches of distribution networkMThe first stepiNumber of allowed access nodes of a strip feeder branchD i 、The topological connection relation and the node load distribution condition of the power distribution network are determined;
the maximum output tracking value of the distributed power supply and the capacity of the adjusting device are provided, and the adjusting device comprises: grouping switching capacitors, an energy storage system and a static reactive power compensation device;
the number of ports of the multi-end flexible multi-state switch is equal to the capacity of the MMC sub-module, and the ports of the multi-end flexible multi-state switch are connected into the capacity of the MMC sub-module.
Preferably, the process of decimal coding the flexible multi-state switch port, the feeder connected to the port, and the position vector of the three-layer factor allowing the access node on the feeder in step S2 is as follows:
the ports of the flexible multi-state switch and the feeders connected with the ports are respectively numbered uniformly, access nodes are allowed to reset the serial numbers on each feeder on the feeders, and a position vector consists of decimal coding information of the ports of the flexible multi-state switch, the feeders connected with the ports and the allowed access nodes on the feeders, namely:
Figure 822844DEST_PATH_IMAGE001
wherein the content of the first and second substances,E fdsnumbering vector representing ports of a flexible multi-state switch，N sIndicating the number of ports of the flexible multi-state switch allowed to be operated;E linea number vector representing the feeder to which the port is connected,Mrepresenting the number of feeder branches;E noda number vector representing the allowed access nodes on the feeder,
Figure 451402DEST_PATH_IMAGE002
is the firstiNode number vectors on the feeder lines or the branches;D i is shown asiThe number of allowed access nodes of a strip feeder leg.
Here, since the access scheme of the multi-terminal flexible multi-state switch is mainly affected by three layers of factors: the first layer is the selection of the flexible multi-state switch port; the second layer is the selection of the feeder line or branch circuit connected with the port; the third layer is the choice of accessible nodes on the connected feeder or branch. The three-layer factor cross traversal is characterized in that for a power distribution network with a certain scale, large-quantity and complex-form schemes are judged and selected, binary 0-1 is used, the length of chromosomes in a genetic algorithm is long, position calibration is carried out by using three-layer positioning factors, the position environment of a flexible multi-state switch is clearly described, the position vectors of the three layers of factors are firstly determined by utilizing decimal coding, the subsequent high-latitude problem faced by the combined solution based on the improved genetic algorithm and the second-order cone programming is improved, and the solution efficiency is improved.
Preferably, the objective function in step S3 is:
Figure 801612DEST_PATH_IMAGE003
wherein the content of the first and second substances,F costrepresents the comprehensive economic cost of the power distribution network;C mwhich represents the cost of the operation of the equipment,ρ 1a weight coefficient representing an equipment operating cost;C losswhich represents the cost of the loss of the connection,ρ 2a weight coefficient representing a connection loss cost;C conthe cost of the inter-network interaction is expressed,ρ 3a weight coefficient representing cost of inter-network interaction;C volthe cost of the capacity allocation is expressed as,ρ 4a weight coefficient representing a capacity allocation cost;
A. the expression of the equipment running cost is as follows:
Figure 423086DEST_PATH_IMAGE004
wherein the content of the first and second substances,
Figure 870248DEST_PATH_IMAGE005
indicating distributed power attThe cost of the operation at the time of day,
Figure 528763DEST_PATH_IMAGE006
indicating an energy storage system intThe running cost at that moment;
Figure 772793DEST_PATH_IMAGE007
indicating that the switched capacitors are grouped intThe running cost at that moment;
Figure 604483DEST_PATH_IMAGE008
showing a static var compensator intThe running cost at that moment;
Figure 109414DEST_PATH_IMAGE009
the flexible multi-state switch is arranged intThe running cost at that moment;Trepresents the total time of operation;
distributed power supply istThe operating cost at that time is expressed as:
Figure 63463DEST_PATH_IMAGE010
wherein the content of the first and second substances,
Figure 653845DEST_PATH_IMAGE011
representing an active operating cost coefficient of the distributed power supply;
Figure 367854DEST_PATH_IMAGE012
representing nodesiConnected distributed power supplytThe active power at a moment;
Figure 789608DEST_PATH_IMAGE013
representing a reactive operating cost coefficient of the distributed power source;
Figure 55504DEST_PATH_IMAGE014
representing nodesiConnected distributed power supplytReactive power at a moment;N dgrepresenting the number of nodes accessing the distributed power supply in the power distribution network;
the energy storage system istThe operating cost at that time is expressed as:
Figure 992236DEST_PATH_IMAGE015
wherein the content of the first and second substances,
Figure 368991DEST_PATH_IMAGE016
representing an operating cost coefficient of the energy storage system;
Figure 645251DEST_PATH_IMAGE017
representing nodesiConnected energy storage system istThe charging power at the moment of time is,
Figure 954486DEST_PATH_IMAGE018
node pointiConnected energy storage system istDischarge power at a time;
Figure 253880DEST_PATH_IMAGE019
representing a charge efficiency coefficient of the energy storage system;
Figure 558959DEST_PATH_IMAGE020
representing a discharge efficiency coefficient of the energy storage system;
Figure 955306DEST_PATH_IMAGE021
represents the time variation;N essrepresenting the number of distribution network nodes accessed into the energy storage system;
the capacitor is switched in groupstThe operating cost at that time is expressed as:
Figure 563004DEST_PATH_IMAGE022
wherein the content of the first and second substances,
Figure 959482DEST_PATH_IMAGE023
representing the operation cost coefficient of the grouped switched capacitor;
Figure 740356DEST_PATH_IMAGE024
representing nodesiConnected group switching capacitor intThe number of groups to be put into operation at +1 time;
Figure 194471DEST_PATH_IMAGE025
representing nodesiConnected group switching capacitor intThe number of commissioning groups at a moment;N cbthe number of nodes of a power distribution network connected into the grouping switching capacitor is represented;
Figure 97705DEST_PATH_IMAGE026
wherein the content of the first and second substances,
Figure 371692DEST_PATH_IMAGE027
representing the operation cost coefficient of the static reactive power compensation device;
Figure 503727DEST_PATH_IMAGE028
representing nodesiConnected static var compensator intReactive power at a moment;N svgrepresenting the number of nodes of a power distribution network accessed to the static reactive power compensation device;
the flexible multi-state switch is arranged intThe operating cost expression at that time is:
Figure 812348DEST_PATH_IMAGE029
wherein the content of the first and second substances,
Figure 558587DEST_PATH_IMAGE030
indicating active operation of a flexible multi-state switchA line cost coefficient;
Figure 710083DEST_PATH_IMAGE031
representing nodesiConnected with a flexible multi-state switchtThe active power at a moment;
Figure 504864DEST_PATH_IMAGE032
representing a reactive operating cost coefficient of the flexible multi-state switch;
Figure 808937DEST_PATH_IMAGE033
representing nodesiConnected with a flexible multi-state switchtReactive power at a moment;N fdsrepresenting the number of nodes of a power distribution network accessed into the flexible multi-state switch;
B. the connection loss cost expression is:
Figure 726078DEST_PATH_IMAGE034
wherein the content of the first and second substances,
Figure 974656DEST_PATH_IMAGE035
representing a line loss cost coefficient;
Figure 697762DEST_PATH_IMAGE036
representing a flexible multi-state switch connection loss cost factor;r ijrepresenting nodesiAnd nodejResistance of the line therebetween;I ijrepresenting nodesiAnd nodejThe current of the line between them,
Figure 980976DEST_PATH_IMAGE037
to representtTime access nodeiOmega represents a node connection relation set;Erepresenting a set of line connection relationships;
C. the expression of the cost of the interaction between networks is as follows:
Figure 69017DEST_PATH_IMAGE038
wherein the content of the first and second substances,
Figure 677329DEST_PATH_IMAGE039
is shown intThe interaction cost generated by the inflow and outflow active power of the superior power grid at any moment;
Figure 79491DEST_PATH_IMAGE040
indicating a distribution network attThe space-time energy cost is constantly connected through the flexible multi-state switch;tthe expression of the interaction cost generated by the inflow and outflow active power of the superior power grid at any moment is as follows:
Figure 341845DEST_PATH_IMAGE041
wherein the content of the first and second substances,
Figure 600788DEST_PATH_IMAGE042
representing a transaction cost coefficient of the power distribution network and a superior power grid;
Figure 558380DEST_PATH_IMAGE043
is shown intTime upper-level power grid inflow nodeiActive power of (d);
Figure 905179DEST_PATH_IMAGE044
to representtHigher-level power grid outflow node at momentiActive power of (d);N gthe total number of nodes which are correspondingly flowed into and out of the distribution network by the superior power grid is represented;
tthe expression of the time-space energy cost at the moment of connection through the flexible multi-state switch is as follows:
Figure 897406DEST_PATH_IMAGE045
wherein the content of the first and second substances,
Figure 655146DEST_PATH_IMAGE046
forming an interconnected node relation set through a flexible multi-state switch;
Figure 162351DEST_PATH_IMAGE047
is a nodeiAndjspace-time energy cost difference coefficients are connected through the flexible multi-state switch;
Figure 906316DEST_PATH_IMAGE048
representing nodesiAnd nodejConnected with a flexible multi-state switchtThe active power at a moment;
D. the expression for the capacity configuration cost is:
Figure 628415DEST_PATH_IMAGE049
wherein the content of the first and second substances,βrepresenting a device life apportionment coefficient;
Figure 698002DEST_PATH_IMAGE050
representing access nodesiPort capacity of the flexible multi-state switch;
Figure 426924DEST_PATH_IMAGE051
representing FDS port capacity configuration price coefficient;N sand the node number corresponding to the port of the flexible multi-state switch accessed to the power distribution network is represented.
In the site selection and volume fixing optimization of the flexible multi-state switch connected to the active power distribution network, besides the trend index for evaluating the influence of the access position and the volume size, the comprehensive analysis and consideration are carried out by combining the interactive cost caused by different connection positions and the economic cost generated by the volume size, the evaluation is carried out by utilizing a judgment matrix method through the combination of subjective judgment and objective conditions, and then the normalization is carried out to obtain the position selection and volume fixing optimizationρ 1 、ρ 2、ρ 3、ρ 4。
Preferably, the expressions of the load flow calculation and the safe operation boundary condition in step S3 are respectively:
a load flow calculation expression:
Figure 99214DEST_PATH_IMAGE052
wherein the content of the first and second substances,
Figure 800454DEST_PATH_IMAGE053
、
Figure 916308DEST_PATH_IMAGE054
are respectively shown intTime upper-level power grid inflow nodeiActive power and reactive power of;
Figure 132526DEST_PATH_IMAGE055
is shown intTime access nodeiActive power of the energy storage system of (1);
Figure 218294DEST_PATH_IMAGE056
、
Figure 164253DEST_PATH_IMAGE057
respectively representing nodesiConnected with a flexible multi-state switchtThe active power and the reactive power at the moment;
Figure 372380DEST_PATH_IMAGE058
、
Figure 279157DEST_PATH_IMAGE059
are respectively astTime of day distribution network at nodeiActive load and reactive load of (1);
Figure 41052DEST_PATH_IMAGE060
representing nodesiConnected static var compensator intReactive power at a moment;
Figure 716884DEST_PATH_IMAGE061
is a nodeiConnected with a group of capacitors attInjecting reactive power at a moment;P ij,t 、Q ij,t are respectively astTime lineijActive power and reactive power at both ends;P ji,t 、Q ji,t are respectively astTime linejiActive power and reactive power at both ends;r ij 、x ij are respectively a lineijResistance and reactance of (d);I ijrepresenting nodesiAnd nodejThe current of the line between;V i,t 、V j,t are respectively nodesiAnd nodejVoltage amplitude of (d);
the safe operation boundary condition expression is as follows:
Figure 423808DEST_PATH_IMAGE062
wherein the content of the first and second substances,I ij,maxas a lineijThe upload traffic of (2); v i,minAnd V i,maxAre respectively nodesiThe lower and upper safe voltage limits of (2).
The expression of the flexible multi-state switch operation constraint described in step S3 is:
Figure 614618DEST_PATH_IMAGE063
wherein the content of the first and second substances,
Figure 307768DEST_PATH_IMAGE064
representing nodesiConnected with a flexible multi-state switchtThe active power at a moment;
Figure 713473DEST_PATH_IMAGE065
to representtTime access nodeiActive loss of the flexible multi-state switch port of (1);
Figure 201086DEST_PATH_IMAGE066
and
Figure 879192DEST_PATH_IMAGE067
are respectively nodesiThe adjustable reactive upper limit and the adjustable reactive lower limit of the connected flexible multi-state switch port;
Figure 500666DEST_PATH_IMAGE068
representing nodesiConnected with a flexible multi-state switchtReactive power at a moment;
Figure 885511DEST_PATH_IMAGE069
representing access nodesiPort capacity of the flexible multi-state switch;
Figure 684971DEST_PATH_IMAGE070
is the number of sub-modules of the port converter;
Figure 584794DEST_PATH_IMAGE071
represents the unit capacity of the submodule of the port converter,
Figure 619746DEST_PATH_IMAGE072
、
Figure 249310DEST_PATH_IMAGE073
respectively representing the lower limit value and the upper limit value of the number of the sub-modules of the port converter;
Figure 344305DEST_PATH_IMAGE074
and
Figure 731424DEST_PATH_IMAGE075
respectively representing the internal loss coefficient and the no-load loss constant of the flexible multi-state switch port. The expression of the distributed power supply operation constraint described in step S3 is:
Figure 179854DEST_PATH_IMAGE076
wherein the content of the first and second substances,
Figure 804871DEST_PATH_IMAGE077
the maximum output tracking value of the distributed power supply is obtained;φrepresenting the power factor angle.
The expression for the packet switched capacitor operating constraint is:
Figure 867504DEST_PATH_IMAGE078
wherein the content of the first and second substances,
Figure 69816DEST_PATH_IMAGE079
is a nodeiConnected with a group of capacitors attInjecting reactive power at a moment;
Figure 180991DEST_PATH_IMAGE080
representing a binary decision variable;
Figure 532951DEST_PATH_IMAGE081
switching capacitor single group operation capacity for grouping;K i,min、K i,maxrespectively representing the minimum single commissioning group number and the maximum single commissioning group number of the group switching capacitor;
Figure 969748DEST_PATH_IMAGE082
a binary variable representing the effectiveness of the action during the scheduling cycle;
Figure 331459DEST_PATH_IMAGE083
representing the upper limit of the total number of single test cycle actions.
The expression of the energy storage system operation constraint in step S3 is:
Figure 370960DEST_PATH_IMAGE084
wherein the content of the first and second substances,
Figure 704989DEST_PATH_IMAGE085
、
Figure 109425DEST_PATH_IMAGE086
respectively representing the charging power and the discharging power of the energy storage system;
Figure 37061DEST_PATH_IMAGE087
、
Figure 755619DEST_PATH_IMAGE088
are all shown and describedThe working state of the energy storage system comprises a charging state, a discharging state and a non-charging and non-discharging state;
Figure 68788DEST_PATH_IMAGE089
is a nodeiIn the energy storage systemtThe amount of power at that moment;
Figure 644126DEST_PATH_IMAGE090
and
Figure 183692DEST_PATH_IMAGE091
respectively representing the charging efficiency and the discharging efficiency of the energy storage system;
Figure 315727DEST_PATH_IMAGE092
representing a charge-discharge scheduling time interval;
the expression of the operation constraint of the static reactive power compensation device is as follows:
Figure 421086DEST_PATH_IMAGE093
wherein the content of the first and second substances,
Figure 370588DEST_PATH_IMAGE094
、
Figure 256504DEST_PATH_IMAGE095
respectively, the upper limit and the lower limit of the compensation of the static var compensator.
Preferably, the process of combining the improved genetic algorithm with the second-order cone planning and solving the siting volume optimization model of the multi-terminal flexible multi-state switch, which is described in step S4, is as follows:
s41, decimal coding is carried out on the ports of the flexible multi-state switch, the feeder lines connected with the ports and position vectors of three layers of factors allowed to be accessed to the nodes on the feeder lines;
s42, initializing a population, namely setting a maximum iteration number Kmax, a chromosome length L corresponding to the flexible multi-state switch, a variation rate P, the number Nq of the population of the flexible multi-state switch, a catastrophe operator and a catastrophe interval algebra Q;
s43, calculating a chromosome fitness function corresponding to the Kth-generation flexible multi-state switch based on second-order cone programmingf；
S44, selecting, crossing and mutating by adopting random competition and single-point crossing;
s45, judging whether the catastrophe conditions are met, if so, setting catastrophe variation rate as Pmc, otherwise, setting catastrophe variation rate as Pm;
s46, judging whether the maximum iteration number Kmax is reached, if so, outputting the optimal access position and capacity configuration result of the multi-end flexible multi-state switch in the power distribution network; otherwise, combining the catastrophe variation rate, generating catastrophe at set catastrophe interval algebraic Q, and updating population information;
s47.k is increased by 1 and the process returns to step S43.
Preferably, the flexible multi-state switch described in step S43 corresponds to a chromosome fitness functionfComprises the following steps:
Figure 316864DEST_PATH_IMAGE096
wherein the content of the first and second substances,F costthe economic cost is synthesized for the power distribution network;
Figure 355358DEST_PATH_IMAGE097
、
Figure 741340DEST_PATH_IMAGE098
are all off-limit penalty functions of current;
Figure 786657DEST_PATH_IMAGE099
、
Figure 509762DEST_PATH_IMAGE100
are both off-limit penalty functions of voltage;Nrepresenting the total number of nodes;
objective function by second order cone programming
Figure 792976DEST_PATH_IMAGE101
And the constraint: flexible multi-state switch operation constraint and distributed power supply operationCarrying out convex processing on line constraint, grouping switched capacitor operation constraint, energy storage system operation constraint and static reactive power compensation device operation constraint, namely:
the second-order cone normalization and convex processing of the objective function is as follows:
Figure 881018DEST_PATH_IMAGE102
the constraint condition second order cone programming convex processing is as follows:
Figure 512766DEST_PATH_IMAGE103
wherein the content of the first and second substances,xrepresenting a variable vector to be optimized in a locating constant-volume optimization model of the multi-terminal flexible multi-state switch;Aa coefficient matrix representing a quadratic variable in the constraint condition;qa coefficient matrix representing a primary variable in the constraint condition;ca matrix of constant matrices in the representation constraints;Crepresents a convex cone;Wa convex set consisting of cone constraints;
the catastrophic condition of step S45 is: the current evolutionary generation K is an integral multiple of the catastrophe interval generation Q.
Here, an "elite retention" strategy is employed to avoid individuals being destroyed by genetic manipulation; introducing catastrophe improves local optimization performance and avoids premature convergence.
Compared with the prior art, the technical scheme of the invention has the beneficial effects that:
the invention provides a site selection and volume fixing method of a multi-end flexible multi-state switch, which carries out position calibration by three layers of positioning factors, clearly describes the position environment of the flexible multi-state switch, solves the problems that the multi-port factor and the connection position of the flexible multi-state switch expand the site selection and volume fixing solving dimension of the flexible multi-state switch, which causes the lengthening of the solving time, the method has the advantages that comprehensive economic cost is taken as an optimization objective function, cost factors including equipment operation, connection loss, internetwork interaction, capacity configuration and the like, safe operation boundary conditions are set, various constraints are considered, an improved genetic algorithm and second-order cone planning combined optimization is adopted, the optimal scheme that the flexible multi-state switch is connected into the active power distribution network is determined, meanwhile, the solving efficiency is improved, the power flow optimization effect of the flexible multi-state switch on the active power distribution network is exerted to the maximum extent, and the safe economy of the operation of the active power distribution network is guaranteed.
Drawings
Fig. 1 is a schematic flow chart of a location and volume method of a multi-end flexible multi-state switch according to the present invention.
Fig. 2 is a schematic diagram of a flexible multi-state switch access power distribution network proposed in the embodiment of the present invention.
Fig. 3 is a typical daily load graph of the feeder F1, the feeder F2, and the feeder F3 according to the embodiment of the present invention.
Detailed Description
The drawings are for illustrative purposes only and are not to be construed as limiting the patent;
for better illustration of the present embodiment, certain parts of the drawings may be omitted, enlarged or reduced, and do not represent actual dimensions;
it will be understood by those skilled in the art that certain well-known descriptions of the figures may be omitted.
The technical solution of the present invention is further described below with reference to the accompanying drawings and examples.
Example 1
Fig. 1 is a schematic flow chart of a method for locating and sizing a multi-terminal flexible multi-state switch according to the present invention, the method includes the following steps:
s1, determining basic operation parameters of a power distribution network, a regulating device, a distributed power supply and a multi-end flexible multi-state switch; in this embodiment, the adjusting apparatus includes: grouping switching condenser, energy storage system and static reactive power compensator, basic operating parameter includes: number of feeder branches of distribution networkMThe first stepiNumber of allowed access nodes of a strip feeder branchD i 、The topological connection relation and the node load distribution condition of the power distribution network are determined; the maximum output tracking value of the distributed power supply and the capacity of the adjusting device are provided, and the adjusting device comprises: grouping switching capacitors, an energy storage system and a static reactive power compensation device; multi-end flexible multi-shapeThe number of ports of the state switch and the capacity of the multi-port flexible multi-state switch port accessed to the MMC sub-module.
S2, performing decimal coding on the ports of the flexible multi-state switch, the feeder lines connected with the ports and position vectors of three layers of factors allowed to be accessed to the nodes on the feeder lines; the ports of the flexible multi-state switch and the feeders connected with the ports are respectively numbered uniformly, access nodes are allowed to reset the serial numbers on each feeder on the feeders, and a position vector consists of decimal coding information of the ports of the flexible multi-state switch, the feeders connected with the ports and the allowed access nodes on the feeders, namely:
Figure 914929DEST_PATH_IMAGE104
wherein the content of the first and second substances,E fdsa number vector representing a flexible multi-state switch port,N sindicating the number of ports of the flexible multi-state switch allowed to be operated;E linea number vector representing the feeder to which the port is connected,Mrepresenting the number of feeder branches;E noda number vector representing the allowed access nodes on the feeder,
Figure 177283DEST_PATH_IMAGE105
is the firstiNode number vectors on the feeder lines or the branches;D i is shown asiThe number of allowed access nodes of a strip feeder leg.
S3, establishing a multi-terminal flexible multi-state switch location and volume optimization model by taking the minimum equipment operation cost, the minimum connection loss cost, the minimum inter-network interaction cost and the minimum capacity configuration cost as objective functions, considering load flow calculation and safe operation boundary conditions and taking flexible multi-state switch operation constraint, distributed power supply operation constraint, grouping switching capacitor operation constraint, energy storage system operation constraint and static reactive power compensation device operation constraint as constraint conditions;
the objective function of the locating constant-volume optimization model of the multi-end flexible multi-state switch is as follows:
Figure 436226DEST_PATH_IMAGE106
wherein the content of the first and second substances,F costrepresents the comprehensive economic cost of the power distribution network;C mwhich represents the cost of the operation of the equipment,ρ 1a weight coefficient representing an equipment operating cost;C losswhich represents the cost of the loss of the connection,ρ 2a weight coefficient representing a connection loss cost;C conthe cost of the inter-network interaction is expressed,ρ 3a weight coefficient representing cost of inter-network interaction;C volthe cost of the capacity allocation is expressed as,ρ 4a weight coefficient representing a capacity allocation cost;
A. the expression of the equipment running cost is as follows:
Figure 393818DEST_PATH_IMAGE107
wherein the content of the first and second substances,
Figure 475037DEST_PATH_IMAGE108
indicating distributed power attThe cost of the operation at the time of day,
Figure 264002DEST_PATH_IMAGE109
indicating an energy storage system intThe running cost at that moment;
Figure 897108DEST_PATH_IMAGE110
indicating that the switched capacitors are grouped intThe running cost at that moment;
Figure 732209DEST_PATH_IMAGE111
showing a static var compensator intThe running cost at that moment;
Figure 476174DEST_PATH_IMAGE112
the flexible multi-state switch is arranged intThe running cost at that moment;Trepresents the total time of operation;
distributed power supply istThe operating cost at that time is expressed as:
Figure 385225DEST_PATH_IMAGE113
wherein the content of the first and second substances,
Figure 267861DEST_PATH_IMAGE114
representing an active operating cost coefficient of the distributed power supply;
Figure 262362DEST_PATH_IMAGE115
representing nodesiConnected distributed power supplytThe active power at a moment;
Figure 669072DEST_PATH_IMAGE116
representing a reactive operating cost coefficient of the distributed power source;
Figure 635891DEST_PATH_IMAGE117
representing nodesiConnected distributed power supplytReactive power at a moment;N dgrepresenting the number of nodes accessing the distributed power supply in the power distribution network;
the energy storage system istThe operating cost at that time is expressed as:
Figure 751746DEST_PATH_IMAGE118
wherein the content of the first and second substances,
Figure 171226DEST_PATH_IMAGE119
representing an operating cost coefficient of the energy storage system;
Figure 319311DEST_PATH_IMAGE120
representing nodesiConnected energy storage system istThe charging power at the moment of time is,
Figure 265270DEST_PATH_IMAGE121
node pointiConnected energy storage system istDischarge power at a time;
Figure 411080DEST_PATH_IMAGE122
representing a charge efficiency coefficient of the energy storage system;
Figure 114594DEST_PATH_IMAGE123
representing a discharge efficiency coefficient of the energy storage system;
Figure 876489DEST_PATH_IMAGE124
represents the time variation;N essrepresenting the number of distribution network nodes accessed into the energy storage system;
the capacitor is switched in groupstThe operating cost at that time is expressed as:
Figure 552321DEST_PATH_IMAGE125
wherein the content of the first and second substances,
Figure 259246DEST_PATH_IMAGE126
representing the operation cost coefficient of the grouped switched capacitor;
Figure 450056DEST_PATH_IMAGE127
representing nodesiThe number of groups of connected grouping switching capacitors in operation at the time of t + 1;
Figure 143206DEST_PATH_IMAGE128
representing nodesiThe operation group number of the connected group switching capacitors at the time t;N cbthe number of nodes of a power distribution network connected into the grouping switching capacitor is represented;
static var compensator intThe operating cost expression at that time is:
Figure 283331DEST_PATH_IMAGE129
wherein the content of the first and second substances,
Figure 36523DEST_PATH_IMAGE130
representing the operation cost coefficient of the static reactive power compensation device;
Figure 42526DEST_PATH_IMAGE131
representing nodesiConnected static reactive power compensatorIn thattReactive power at a moment;N svgrepresenting the number of nodes of a power distribution network accessed to the static reactive power compensation device;
the flexible multi-state switch is arranged intThe operating cost expression at that time is:
Figure 336104DEST_PATH_IMAGE132
wherein the content of the first and second substances,
Figure 986528DEST_PATH_IMAGE133
representing an active operating cost factor of the flexible multi-state switch;
Figure 254829DEST_PATH_IMAGE134
representing nodesiConnected with a flexible multi-state switchtThe active power at a moment;
Figure 623494DEST_PATH_IMAGE135
representing a reactive operating cost coefficient of the flexible multi-state switch;
Figure 455184DEST_PATH_IMAGE136
representing nodesiConnected with a flexible multi-state switchtReactive power at a moment;N fdsrepresenting the number of nodes of a power distribution network accessed into the flexible multi-state switch;
B. the connection loss cost expression is:
Figure 350327DEST_PATH_IMAGE137
wherein the content of the first and second substances,
Figure 914164DEST_PATH_IMAGE138
representing a line loss cost coefficient;
Figure 645490DEST_PATH_IMAGE139
representing a flexible multi-state switch connection loss cost factor;r ijrepresenting nodesiAnd nodejResistance of the line therebetween;I ijrepresenting nodesiAnd nodejThe current of the line between them,
Figure 280871DEST_PATH_IMAGE140
to representtTime access nodeiOmega represents a node connection relation set;Erepresenting a set of line connection relationships;
C. the expression of the cost of the interaction between networks is as follows:
Figure 640308DEST_PATH_IMAGE141
wherein the content of the first and second substances,
Figure 765259DEST_PATH_IMAGE142
is shown intThe interaction cost generated by the inflow and outflow active power of the superior power grid at any moment;
Figure 842937DEST_PATH_IMAGE143
indicating a distribution network attThe space-time energy cost is constantly connected through the flexible multi-state switch;tthe expression of the interaction cost generated by the inflow and outflow active power of the superior power grid at any moment is as follows:
Figure 282008DEST_PATH_IMAGE144
wherein the content of the first and second substances,
Figure 633968DEST_PATH_IMAGE145
representing a transaction cost coefficient of the power distribution network and a superior power grid;
Figure 805186DEST_PATH_IMAGE146
is shown intTime upper-level power grid inflow nodeiActive power of (d);
Figure 494793DEST_PATH_IMAGE147
to representtHigher-level power grid outflow node at momentiActive power of (d);N grepresentation of a superordinate gridThe total number of nodes corresponding to the inflow and outflow of the power distribution network;
tthe expression of the time-space energy cost at the moment of connection through the flexible multi-state switch is as follows:
Figure 675239DEST_PATH_IMAGE148
wherein the content of the first and second substances,
Figure 806006DEST_PATH_IMAGE149
forming an interconnected node relation set through a flexible multi-state switch;
Figure 289071DEST_PATH_IMAGE150
is a nodeiAndjspace-time energy cost difference coefficients are connected through the flexible multi-state switch;
Figure 75761DEST_PATH_IMAGE151
representing nodesiAnd nodejConnected with a flexible multi-state switchtThe active power at a moment;
D. the expression for the capacity configuration cost is:
Figure 918952DEST_PATH_IMAGE152
wherein the content of the first and second substances,βrepresenting a device life apportionment coefficient;
Figure 169805DEST_PATH_IMAGE153
representing access nodesiPort capacity of the flexible multi-state switch;
Figure 948405DEST_PATH_IMAGE154
representing FDS port capacity configuration price coefficient;N sand the node number corresponding to the port of the flexible multi-state switch accessed to the power distribution network is represented.
By combining subjective judgment and objective conditions, evaluating by using a judgment matrix method, and then obtaining after normalizationρ 1 、 ρ 2、ρ 3、ρ 4。
A load flow calculation expression:
Figure 97758DEST_PATH_IMAGE155
wherein the content of the first and second substances,
Figure 620006DEST_PATH_IMAGE156
、
Figure 725366DEST_PATH_IMAGE157
are respectively shown intTime upper-level power grid inflow nodeiActive power and reactive power of;
Figure 799501DEST_PATH_IMAGE158
is shown intTime access nodeiActive power of the energy storage system of (1);
Figure 295204DEST_PATH_IMAGE159
、
Figure 496510DEST_PATH_IMAGE160
respectively representing nodesiConnected with a flexible multi-state switchtThe active power and the reactive power at the moment;
Figure 456375DEST_PATH_IMAGE161
、
Figure 576778DEST_PATH_IMAGE162
are respectively astTime of day distribution network at nodeiActive load and reactive load of (1);
Figure 949991DEST_PATH_IMAGE163
representing nodesiConnected static var compensator intReactive power at a moment;
Figure 217636DEST_PATH_IMAGE164
is a nodeiConnected with a group of capacitors attInjecting reactive power at a moment;P ij,t 、Q ij,t are respectively astTime lineijActive power and reactive power at both ends;P ji,t 、Q ji,t are respectively astTime linejiActive power and reactive power at both ends;r ij 、x ij are respectively a lineijResistance and reactance of (d);I ijrepresenting nodesiAnd nodejThe current of the line between;V i,t 、V j,t are respectively nodesiAnd nodejVoltage amplitude of (d);
the safe operation boundary condition expression is as follows:
Figure 32009DEST_PATH_IMAGE165
wherein the content of the first and second substances,I ij,maxas a lineijThe upload traffic of (2); v i,minAnd V i,maxAre respectively nodesiThe lower and upper safe voltage limits of (2).
The expression of the flexible multi-state switch operation constraint described in step S3 is:
Figure 588892DEST_PATH_IMAGE166
wherein the content of the first and second substances,
Figure 934554DEST_PATH_IMAGE167
representing nodesiConnected with a flexible multi-state switchtThe active power at a moment;
Figure 399033DEST_PATH_IMAGE168
to representtTime access nodeiActive loss of the flexible multi-state switch port of (1);
Figure 271174DEST_PATH_IMAGE169
and
Figure 858013DEST_PATH_IMAGE170
are respectively asNode pointiThe adjustable reactive upper limit and the adjustable reactive lower limit of the connected flexible multi-state switch port;
Figure 81184DEST_PATH_IMAGE171
representing nodesiConnected with a flexible multi-state switchtReactive power at a moment;
Figure 83775DEST_PATH_IMAGE172
representing access nodesiPort capacity of the flexible multi-state switch;
Figure 685789DEST_PATH_IMAGE173
is the number of sub-modules of the port converter;
Figure 381213DEST_PATH_IMAGE174
represents the unit capacity of the submodule of the port converter,
Figure 826100DEST_PATH_IMAGE175
、
Figure 694699DEST_PATH_IMAGE176
respectively representing the lower limit value and the upper limit value of the number of the sub-modules of the port converter;
Figure 807012DEST_PATH_IMAGE177
and
Figure 486386DEST_PATH_IMAGE178
respectively representing the internal loss coefficient and the no-load loss constant of the flexible multi-state switch port. The expression of the distributed power supply operation constraint described in step S3 is:
Figure 480887DEST_PATH_IMAGE179
wherein the content of the first and second substances,
Figure 28543DEST_PATH_IMAGE180
the maximum output tracking value of the distributed power supply is obtained;φrepresenting the power factor angle.
The expression for the packet switched capacitor operating constraint is:
Figure 854416DEST_PATH_IMAGE181
wherein the content of the first and second substances,
Figure 626063DEST_PATH_IMAGE182
is a nodeiConnected with a group of capacitors attInjecting reactive power at a moment;
Figure 311122DEST_PATH_IMAGE183
representing a binary decision variable;
Figure 534906DEST_PATH_IMAGE184
switching capacitor single group operation capacity for grouping;K i,min、K i,maxrespectively representing the minimum single commissioning group number and the maximum single commissioning group number of the group switching capacitor;
Figure 90652DEST_PATH_IMAGE185
a binary variable representing the effectiveness of the action during the scheduling cycle;
Figure 298780DEST_PATH_IMAGE186
representing the upper limit of the total number of single test cycle actions.
The expression of the energy storage system operation constraint in step S3 is:
Figure 330190DEST_PATH_IMAGE187
wherein the content of the first and second substances,
Figure 954069DEST_PATH_IMAGE188
、
Figure 692218DEST_PATH_IMAGE189
respectively representing the charging power and the discharging power of the energy storage system;
Figure 884296DEST_PATH_IMAGE190
、
Figure 12789DEST_PATH_IMAGE191
all represent binary variables describing the working state of the energy storage system, wherein the working state comprises a charging state, a discharging state and a non-charging and non-discharging state;
Figure 830572DEST_PATH_IMAGE192
is a nodeiIn the energy storage systemtThe amount of power at that moment;
Figure 423227DEST_PATH_IMAGE193
and
Figure 176420DEST_PATH_IMAGE194
respectively representing the charging efficiency and the discharging efficiency of the energy storage system;
Figure 933154DEST_PATH_IMAGE195
representing a charge-discharge scheduling time interval;
the expression of the operation constraint of the static reactive power compensation device is as follows:
Figure 164416DEST_PATH_IMAGE196
wherein the content of the first and second substances,
Figure 673894DEST_PATH_IMAGE197
、
Figure 597988DEST_PATH_IMAGE198
respectively, the upper limit and the lower limit of the compensation of the static var compensator.
S4, combining an improved genetic algorithm with second-order cone planning, and solving a location and volume fixing optimization model of the multi-end flexible multi-state switch;
and S5, outputting the optimal access position and capacity configuration result of the multi-end flexible multi-state switch in the power distribution network.
The process of combining the improved genetic algorithm with the second-order cone planning and solving the locating and sizing optimization model of the multi-end flexible multi-state switch comprises the following steps:
s41, decimal coding is carried out on the ports of the flexible multi-state switch, the feeder lines connected with the ports and position vectors of three layers of factors allowed to be accessed to the nodes on the feeder lines;
s42, initializing a population, namely setting a maximum iteration number Kmax, a chromosome length L corresponding to the flexible multi-state switch, a variation rate P, the number Nq of the population of the flexible multi-state switch, a catastrophe operator and a catastrophe interval algebra Q;
s43, calculating a chromosome fitness function corresponding to the Kth-generation flexible multi-state switch based on second-order cone programmingf；
S44, selecting, crossing and mutating by adopting random competition and single-point crossing;
s45, judging whether the catastrophe conditions are met, if so, setting catastrophe variation rate as Pmc, otherwise, setting catastrophe variation rate as Pm;
s46, judging whether the maximum iteration number Kmax is reached, if so, outputting the optimal access position and capacity configuration result of the multi-end flexible multi-state switch in the power distribution network; otherwise, combining the catastrophe variation rate, generating catastrophe at set catastrophe interval algebraic Q, and updating population information;
s47.k is increased by 1 and the process returns to step S43.
Chromosome fitness function corresponding to the flexible multi-state switch in step S43fComprises the following steps:
Figure 763390DEST_PATH_IMAGE199
wherein the content of the first and second substances,F costthe economic cost is synthesized for the power distribution network;
Figure 673708DEST_PATH_IMAGE200
、
Figure 178639DEST_PATH_IMAGE201
are all off-limit penalty functions of current;
Figure 132689DEST_PATH_IMAGE202
、
Figure 785387DEST_PATH_IMAGE203
are both off-limit penalty functions of voltage;Nrepresenting the total number of nodes;
objective function by second order cone programming
Figure 358451DEST_PATH_IMAGE204
And the constraint: the method comprises the following steps of carrying out convex processing on flexible multi-state switch operation constraint, distributed power supply operation constraint, grouping switching capacitor operation constraint, energy storage system operation constraint and static reactive power compensation device operation constraint, namely:
the second-order cone normalization and convex processing of the objective function is as follows:
Figure 855904DEST_PATH_IMAGE205
the constraint condition second order cone programming convex processing is as follows:
Figure 856221DEST_PATH_IMAGE206
wherein the content of the first and second substances,xrepresenting a variable vector to be optimized in a locating constant-volume optimization model of the multi-terminal flexible multi-state switch;Aa coefficient matrix representing a quadratic variable in the constraint condition;qa coefficient matrix representing a primary variable in the constraint condition;ca matrix of constant matrices in the representation constraints;Crepresents a convex cone;Wa convex set consisting of cone constraints; the catastrophic condition of step S45 is: the current evolutionary generation K is an integral multiple of the catastrophe interval generation Q.
The effectiveness of the method provided by the present invention is further verified by combining with practical examples, as shown in fig. 2, a schematic diagram of the flexible multi-state switch accessing to the distribution network is shown, the distribution network includes 3 radiating feeders, 18 nodes in total, and 15 branches, the feeder power sources are respectively from different upper power grids, wherein FDS represents the flexible multi-state switch, which is an acronym of the flexible multi-state switch, F1, F2, and F3 are all feeders, F1 mainly accesses to a charging load, F2 mainly accesses to a residential load, and F3 mainly accesses to a residential loadTo switch in the industrial heavy load, a typical daily load curve of the switch-in of the feeder F1, the feeder F2 and the feeder F3 is shown in FIG. 3. Referring to fig. 2, a node 11 is connected to a distributed photovoltaic PV, and a maximum tracking power value is set according to a time sequence output characteristic, and a power factor is set to 0.95; in order to cooperate with photovoltaic output, an energy storage system ESS with the capacity of 1MWh is connected to the node, and the upper power limit and the efficiency of charging and discharging are respectively 0.5MW and 0.95; meanwhile, a grouping switching capacitor CB is connected to the node 4, the node 9 and the node 15, the single group switching capacity is 25kvar, 3 groups are provided, and the maximum switching total times of a single period is 8; the node 13 is connected into a static var compensator (SVG), and the compensation interval is-250-750 kvar; the number of the sub-modules of the FDS port is set to be 3-8, the single-mode capacity is 1MVA, the example test period is set to be 24h,ρ 1is 0.242, ρ 2Is a content of 0.161 by weight,ρ 3the content of the amino acid is 0.376,ρ 4is 0.221.
Combining an improved genetic algorithm with second-order cone planning, solving a locating constant-volume optimization model of the multi-end flexible multi-state switch, and obtaining an optimization configuration scheme of the multi-end flexible multi-state switch as shown in table 1, wherein table 1 shows corresponding comprehensive economic cost and access position and configuration capacity data of the flexible multi-state switch under three configuration schemes, and the three schemes are respectively as follows: the same port capacity limit, different port capacity limits, and the initial configuration of the exemplary engineering.
TABLE 1
Figure 58532DEST_PATH_IMAGE207
Referring to table 1, by using the method provided by the present invention, the optimal configuration schemes under different requirements are obtained, and compared with the preliminary scheme of the demonstration project, the comprehensive economic cost is well controlled, and the coordinated operation condition of the active adjustment component is optimized.
Table 2 shows a data table of various algorithms for solving the location and volume optimization model of the multi-terminal flexible multi-state switch, wherein the IGA-SOCP shows a method for combining the improved genetic algorithm and the second-order cone planning, the IGA-SOCP shows a method for combining the conventional genetic algorithm and the second-order cone planning, and the CP L EX shows a traditional mathematical modeling optimization solving algorithm.
TABLE 2
Figure 497603DEST_PATH_IMAGE208
The method for improving the genetic algorithm and the second-order cone planning combination has the solving time of 131.7S, is obviously shorter than the solving time of a conventional genetic algorithm and second-order cone planning combination method and CP L EX, and has high solving efficiency and strict relaxation.
The positional relationships depicted in the drawings are for illustrative purposes only and are not to be construed as limiting the present patent;
it should be understood that the above-described embodiments of the present invention are merely examples for clearly illustrating the present invention, and are not intended to limit the embodiments of the present invention. Other variations and modifications will be apparent to persons skilled in the art in light of the above description. And are neither required nor exhaustive of all embodiments. Any modification, equivalent replacement, and improvement made within the spirit and principle of the present invention should be included in the protection scope of the claims of the present invention.

Claims (10)

1. A site selection and volume fixing method of a multi-end flexible multi-state switch is characterized by at least comprising the following steps:
s1, determining basic operation parameters of a power distribution network, a regulating device, a distributed power supply and a multi-end flexible multi-state switch;
s2, performing decimal coding on the ports of the flexible multi-state switch, the feeder lines connected with the ports and position vectors of three layers of factors allowed to be accessed to the nodes on the feeder lines;
s3, establishing a multi-terminal flexible multi-state switch location and volume optimization model by taking the minimum equipment operation cost, the minimum connection loss cost, the minimum inter-network interaction cost and the minimum capacity configuration cost as objective functions, considering load flow calculation and safe operation boundary conditions and taking flexible multi-state switch operation constraint, distributed power supply operation constraint, grouping switching capacitor operation constraint, energy storage system operation constraint and static reactive power compensation device operation constraint as constraint conditions;
s4, combining an improved genetic algorithm with second-order cone planning, and solving a location and volume fixing optimization model of the multi-end flexible multi-state switch;
and S5, outputting the optimal access position and capacity configuration result of the multi-end flexible multi-state switch in the power distribution network.
2. The method for locating and sizing a multi-terminal flexible multi-state switch according to claim 1, wherein the basic operation parameters of step S1 include:
number of feeder branches of distribution networkMThe first stepiNumber of allowed access nodes of a strip feeder branchD i 、The topological connection relation and the node load distribution condition of the power distribution network are determined;
the maximum output tracking value of the distributed power supply and the capacity of the adjusting device are provided, and the adjusting device comprises: grouping switching capacitors, an energy storage system and a static reactive power compensation device;
the number of ports of the multi-end flexible multi-state switch is equal to the capacity of the MMC sub-module, and the ports of the multi-end flexible multi-state switch are connected into the capacity of the MMC sub-module.
3. The method for locating and sizing a multi-terminal flexible multi-state switch according to claim 2, wherein the step S2 is performed by decimal coding the ports of the flexible multi-state switch, the feeder lines connected to the ports, and the position vectors of the three-layer factors of the allowed access nodes on the feeder lines by:
the ports of the flexible multi-state switch and the feeders connected with the ports are respectively numbered uniformly, access nodes are allowed to reset the serial numbers on each feeder on the feeders, and a position vector consists of decimal coding information of the ports of the flexible multi-state switch, the feeders connected with the ports and the allowed access nodes on the feeders, namely:
Figure 138971DEST_PATH_IMAGE001
wherein the content of the first and second substances,E fdsencoding for representing flexible multi-state switch portA vector of the number of the bits,N sindicating the number of ports of the flexible multi-state switch allowed to be operated;E linea number vector representing the feeder to which the port is connected,Mrepresenting the number of feeder branches;E noda number vector representing the allowed access nodes on the feeder,
Figure 158005DEST_PATH_IMAGE002
is the firstiNode number vectors on the feeder lines or the branches;D i is shown asiThe number of allowed access nodes of a strip feeder leg.
4. The method for locating and sizing a multi-terminal flexible multi-state switch according to claim 3, wherein the objective function in step S3 is:
Figure 57828DEST_PATH_IMAGE003
wherein the content of the first and second substances,
Figure 623938DEST_PATH_IMAGE004
represents the comprehensive economic cost of the power distribution network;C mwhich represents the cost of the operation of the equipment,ρ 1a weight coefficient representing an equipment operating cost;C losswhich represents the cost of the loss of the connection,ρ 2a weight coefficient representing a connection loss cost;C conthe cost of the inter-network interaction is expressed,ρ 3a weight coefficient representing cost of inter-network interaction;C volthe cost of the capacity allocation is expressed as,ρ 4a weight coefficient representing a capacity allocation cost;
A. the expression of the equipment running cost is as follows:
Figure 722344DEST_PATH_IMAGE005
wherein the content of the first and second substances,
Figure 348498DEST_PATH_IMAGE006
indicating distributed power attThe cost of the operation at the time of day,
Figure 532354DEST_PATH_IMAGE007
indicating an energy storage system intThe running cost at that moment;
Figure 902156DEST_PATH_IMAGE008
indicating that the switched capacitors are grouped intThe running cost at that moment;
Figure 58330DEST_PATH_IMAGE009
showing a static var compensator intThe running cost at that moment;
Figure 183281DEST_PATH_IMAGE010
the flexible multi-state switch is arranged intThe running cost at that moment;Trepresents the total time of operation;
distributed power supply istThe operating cost at that time is expressed as:
Figure 821811DEST_PATH_IMAGE011
wherein the content of the first and second substances,
Figure 995303DEST_PATH_IMAGE012
representing an active operating cost coefficient of the distributed power supply;
Figure 271564DEST_PATH_IMAGE013
representing nodesiConnected distributed power supplytThe active power at a moment;
Figure 505099DEST_PATH_IMAGE014
representing a reactive operating cost coefficient of the distributed power source;
Figure 601231DEST_PATH_IMAGE015
representing nodesiConnected distributed power supplytOf time of dayReactive power;N dgrepresenting the number of nodes accessing the distributed power supply in the power distribution network;
the energy storage system istThe operating cost at that time is expressed as:
Figure 312835DEST_PATH_IMAGE016
wherein the content of the first and second substances,
Figure 505919DEST_PATH_IMAGE017
representing an operating cost coefficient of the energy storage system;
Figure 644776DEST_PATH_IMAGE018
representing nodesiConnected energy storage system istThe charging power at the moment of time is,
Figure 962625DEST_PATH_IMAGE019
node pointiConnected energy storage system istDischarge power at a time;
Figure 477920DEST_PATH_IMAGE020
representing a charge efficiency coefficient of the energy storage system;
Figure 525510DEST_PATH_IMAGE021
representing a discharge efficiency coefficient of the energy storage system;
Figure 835269DEST_PATH_IMAGE022
represents the time variation;N essrepresenting the number of distribution network nodes accessed into the energy storage system;
the capacitor is switched in groupstThe operating cost at that time is expressed as:
Figure 640414DEST_PATH_IMAGE023
wherein the content of the first and second substances,
Figure 523182DEST_PATH_IMAGE024
representing the operation cost coefficient of the grouped switched capacitor;
Figure 628541DEST_PATH_IMAGE025
representing nodesiThe number of groups of connected grouping switching capacitors in operation at the time of t + 1;
Figure 374780DEST_PATH_IMAGE026
representing nodesiThe operation group number of the connected group switching capacitors at the time t;N cbthe number of nodes of a power distribution network connected into the grouping switching capacitor is represented;
static var compensator intThe operating cost expression at that time is:
Figure 729538DEST_PATH_IMAGE027
wherein the content of the first and second substances,
Figure 586636DEST_PATH_IMAGE028
representing the operation cost coefficient of the static reactive power compensation device;
Figure 812081DEST_PATH_IMAGE029
representing nodesiConnected static var compensator intReactive power at a moment;N svgrepresenting the number of nodes of a power distribution network accessed to the static reactive power compensation device;
the flexible multi-state switch is arranged intThe operating cost expression at that time is:
Figure 729221DEST_PATH_IMAGE030
wherein the content of the first and second substances,
Figure 774537DEST_PATH_IMAGE031
representing an active operating cost factor of the flexible multi-state switch;
Figure 435326DEST_PATH_IMAGE032
representing nodesiConnected with a flexible multi-state switchtThe active power at a moment;
Figure 515277DEST_PATH_IMAGE033
representing a reactive operating cost coefficient of the flexible multi-state switch;
Figure 603319DEST_PATH_IMAGE034
representing nodesiConnected with a flexible multi-state switchtReactive power at a moment;N fdsrepresenting the number of nodes of a power distribution network accessed into the flexible multi-state switch;
B. the connection loss cost expression is:
Figure 135932DEST_PATH_IMAGE035
wherein the content of the first and second substances,
Figure 334832DEST_PATH_IMAGE036
representing a line loss cost coefficient;
Figure 3710DEST_PATH_IMAGE037
representing a flexible multi-state switch connection loss cost factor;r ijrepresenting nodesiAnd nodejResistance of the line therebetween;I ijrepresenting nodesiAnd nodejThe current of the line between them,
Figure 581364DEST_PATH_IMAGE038
to representtTime access nodeiOmega represents a node connection relation set;Erepresenting a set of line connection relationships;
C. the expression of the cost of the interaction between networks is as follows:
Figure 335693DEST_PATH_IMAGE039
wherein the content of the first and second substances,
Figure 338284DEST_PATH_IMAGE040
is shown intThe interaction cost generated by the inflow and outflow active power of the superior power grid at any moment;
Figure 923986DEST_PATH_IMAGE041
indicating a distribution network attThe space-time energy cost is constantly connected through the flexible multi-state switch;tthe expression of the interaction cost generated by the inflow and outflow active power of the superior power grid at any moment is as follows:
Figure 88251DEST_PATH_IMAGE042
wherein the content of the first and second substances,
Figure 329877DEST_PATH_IMAGE043
representing a transaction cost coefficient of the power distribution network and a superior power grid;
Figure 932897DEST_PATH_IMAGE044
is shown intTime upper-level power grid inflow nodeiActive power of (d);
Figure 310788DEST_PATH_IMAGE045
to representtHigher-level power grid outflow node at momentiActive power of (d);N grepresenting the total number of nodes which represent the corresponding inflow and outflow of the upper-level power grid to the power distribution network;
tthe expression of the time-space energy cost at the moment of connection through the flexible multi-state switch is as follows:
Figure 911534DEST_PATH_IMAGE046
wherein the content of the first and second substances,
Figure 437193DEST_PATH_IMAGE047
is achieved by softeningThe sex multi-state switches form an interconnected node relation set;
Figure 814210DEST_PATH_IMAGE048
is a nodeiAndjspace-time energy cost difference coefficients are connected through the flexible multi-state switch;
Figure 312188DEST_PATH_IMAGE049
representing nodesiAnd nodejConnected with a flexible multi-state switchtThe active power at a moment;
D. the expression for the capacity configuration cost is:
Figure 349414DEST_PATH_IMAGE050
wherein the content of the first and second substances,βrepresenting a device life apportionment coefficient;
Figure 831211DEST_PATH_IMAGE051
representing access nodesiPort capacity of the flexible multi-state switch;
Figure 979295DEST_PATH_IMAGE052
representing FDS port capacity configuration price coefficient;N sand the node number corresponding to the port of the flexible multi-state switch accessed to the power distribution network is represented.
5. The method for locating and sizing the multi-terminal flexible multi-state switch according to claim 4, wherein the expressions of the load flow calculation and the safe operation boundary conditions in the step S3 are respectively as follows:
a load flow calculation expression:
Figure 597358DEST_PATH_IMAGE053
wherein the content of the first and second substances,
Figure 71065DEST_PATH_IMAGE054
、
Figure 774579DEST_PATH_IMAGE055
are respectively shown intTime upper-level power grid inflow nodeiActive power and reactive power of;
Figure 726354DEST_PATH_IMAGE056
is shown intTime access nodeiActive power of the energy storage system of (1);
Figure 198924DEST_PATH_IMAGE057
、
Figure 577953DEST_PATH_IMAGE058
respectively representing nodesiConnected with a flexible multi-state switchtThe active power and the reactive power at the moment;P d i,t 、Q d i,t are respectively astTime of day distribution network at nodeiActive load and reactive load of (1);Q svg i,t representing nodesiConnected static var compensator intReactive power at a moment;Q cb i,t is a nodeiConnected with a group of capacitors attInjecting reactive power at a moment;P ij,t 、Q ij,t are respectively astTime lineijActive power and reactive power at both ends;P ji,t 、Q ji,t are respectively astTime linejiActive power and reactive power at both ends;r ij 、x ij are respectively a lineijResistance and reactance of (d);I ijrepresenting nodesiAnd nodejThe current of the line between;V i , t 、V j , t are respectively nodesiAnd nodejVoltage amplitude of
The safe operation boundary condition expression is as follows:
Figure 768763DEST_PATH_IMAGE059
wherein the content of the first and second substances,I ij,maxas a lineijThe upload traffic of (2); v i,minAnd V i,maxAre respectively nodesiThe lower and upper safe voltage limits of (2).
6. The method for locating and sizing a multi-terminal flexible multi-state switch according to claim 5, wherein the expression of the operation constraint of the flexible multi-state switch in the step S3 is as follows:
Figure 524229DEST_PATH_IMAGE060
wherein the content of the first and second substances,
Figure 615420DEST_PATH_IMAGE061
representing nodesiConnected with a flexible multi-state switchtThe active power at a moment;
Figure 165350DEST_PATH_IMAGE062
to representtTime access nodeiActive loss of the flexible multi-state switch port of (1);
Figure 843456DEST_PATH_IMAGE063
and
Figure 402613DEST_PATH_IMAGE064
are respectively nodesiThe adjustable reactive upper limit and the adjustable reactive lower limit of the connected flexible multi-state switch port;
Figure 849775DEST_PATH_IMAGE065
representing nodesiConnected with a flexible multi-state switchtReactive power at a moment;
Figure 570606DEST_PATH_IMAGE066
to representAccess nodeiPort capacity of the flexible multi-state switch;
Figure 470429DEST_PATH_IMAGE067
is the number of sub-modules of the port converter;
Figure 567698DEST_PATH_IMAGE068
represents the unit capacity of the submodule of the port converter,
Figure 134946DEST_PATH_IMAGE069
、
Figure 26678DEST_PATH_IMAGE070
respectively representing the lower limit value and the upper limit value of the number of the sub-modules of the port converter;
Figure 679376DEST_PATH_IMAGE071
and
Figure 314757DEST_PATH_IMAGE072
respectively representing the internal loss coefficient and the no-load loss constant of the flexible multi-state switch port.
7. The siting volume method for a multi-terminal flexible multi-state switch according to claim 6, wherein said distributed power supply operation constraint expression of step S3 is:
Figure 237976DEST_PATH_IMAGE073
wherein the content of the first and second substances,
Figure 566189DEST_PATH_IMAGE074
the maximum output tracking value of the distributed power supply is obtained;φrepresenting a power factor angle;
the expression for the packet switched capacitor operating constraint is:
Figure 440604DEST_PATH_IMAGE075
wherein the content of the first and second substances,
Figure 614097DEST_PATH_IMAGE076
is a nodeiConnected with a group of capacitors attInjecting reactive power at a moment;
Figure 624778DEST_PATH_IMAGE077
representing a binary decision variable;
Figure 592734DEST_PATH_IMAGE078
switching capacitor single group operation capacity for grouping;K i,min、K i,maxrespectively representing the minimum single commissioning group number and the maximum single commissioning group number of the group switching capacitor;
Figure 751183DEST_PATH_IMAGE079
a binary variable representing the effectiveness of the action during the scheduling cycle;
Figure 462787DEST_PATH_IMAGE080
representing the upper limit of the total number of single test cycle actions.
8. The method for locating and sizing the multi-terminal flexible multi-state switch according to claim 7, wherein the expression of the operation constraint of the energy storage system in the step S3 is as follows:
Figure 327975DEST_PATH_IMAGE081
wherein the content of the first and second substances,
Figure 529149DEST_PATH_IMAGE082
、
Figure 112577DEST_PATH_IMAGE083
respectively representing stored energyCharging power and discharging power of the system;
Figure 627872DEST_PATH_IMAGE084
、
Figure 908418DEST_PATH_IMAGE085
all represent binary variables describing the working state of the energy storage system, wherein the working state comprises a charging state, a discharging state and a non-charging and non-discharging state;
Figure 218177DEST_PATH_IMAGE086
is a nodeiIn the energy storage systemtThe amount of power at that moment;
Figure 288901DEST_PATH_IMAGE087
and
Figure 404625DEST_PATH_IMAGE088
respectively representing the charging efficiency and the discharging efficiency of the energy storage system;
Figure 775563DEST_PATH_IMAGE089
representing a charge-discharge scheduling time interval;
the expression of the operation constraint of the static reactive power compensation device is as follows:
Figure 521802DEST_PATH_IMAGE090
wherein the content of the first and second substances,
Figure 345402DEST_PATH_IMAGE091
、
Figure 202499DEST_PATH_IMAGE092
respectively, the upper limit and the lower limit of the compensation of the static var compensator.
9. The method for locating and sizing a multi-terminal flexible multi-state switch according to claim 8, wherein the step S4 is implemented by combining an improved genetic algorithm with a second-order cone planning and solving a locating and sizing optimization model of the multi-terminal flexible multi-state switch, and comprises the following steps:
s41, decimal coding is carried out on the ports of the flexible multi-state switch, the feeder lines connected with the ports and position vectors of three layers of factors allowed to be accessed to the nodes on the feeder lines;
s42, initializing a population, namely setting a maximum iteration number Kmax, a chromosome length L corresponding to the flexible multi-state switch, a variation rate P, the number Nq of the population of the flexible multi-state switch, a catastrophe operator and a catastrophe interval algebra Q;
s43, calculating a chromosome fitness function corresponding to the Kth-generation flexible multi-state switch based on second-order cone programmingf；
S44, selecting, crossing and mutating by adopting random competition and single-point crossing;
s45, judging whether the catastrophe conditions are met, if so, setting catastrophe variation rate as Pmc, otherwise, setting catastrophe variation rate as Pm;
s46, judging whether the maximum iteration number Kmax is reached, if so, outputting the optimal access position and capacity configuration result of the multi-end flexible multi-state switch in the power distribution network; otherwise, combining the catastrophe variation rate, generating catastrophe at set catastrophe interval algebraic Q, and updating population information;
s47.k is increased by 1 and the process returns to step S43.
10. The method for locating and sizing a multi-terminal flexible multi-state switch according to claim 9, wherein the chromosome fitness function corresponding to the flexible multi-state switch in step S43fComprises the following steps:
Figure 162365DEST_PATH_IMAGE093
wherein the content of the first and second substances,F costthe economic cost is synthesized for the power distribution network;
Figure 79506DEST_PATH_IMAGE094
、
Figure 859243DEST_PATH_IMAGE095
are all off-limit penalty functions of current;
Figure 254452DEST_PATH_IMAGE096
、
Figure 131141DEST_PATH_IMAGE097
are both off-limit penalty functions of voltage;Nrepresenting the total number of nodes;
objective function by second order cone programming
Figure 953604DEST_PATH_IMAGE098
And the constraint: the method comprises the following steps of carrying out convex processing on flexible multi-state switch operation constraint, distributed power supply operation constraint, grouping switching capacitor operation constraint, energy storage system operation constraint and static reactive power compensation device operation constraint, namely:
the second-order cone normalization and convex processing of the objective function is as follows:
Figure 220637DEST_PATH_IMAGE099
the constraint condition second order cone programming convex processing is as follows:
Figure 983319DEST_PATH_IMAGE100
wherein the content of the first and second substances,xrepresenting a variable vector to be optimized in a locating constant-volume optimization model of the multi-terminal flexible multi-state switch;Aa coefficient matrix representing a quadratic variable in the constraint condition;qa coefficient matrix representing a primary variable in the constraint condition;ca matrix of constant matrices in the representation constraints;Crepresents a convex cone;Wa convex set consisting of cone constraints;
the catastrophic condition of step S45 is: the current evolutionary generation K is an integral multiple of the catastrophe interval generation Q.
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